Search a number
-
+
705276032 = 2722924061
BaseRepresentation
bin101010000010011…
…010100010000000
31211011002201211112
4222002122202000
52421022313112
6153552302452
723322514226
oct5202324200
91734081745
10705276032
1133212335a
12178241a28
13b31689c6
146994cb16
1541db5a22
hex2a09a880

705276032 has 32 divisors (see below), whose sum is σ = 1411236300. Its totient is φ = 351083520.

The previous prime is 705276023. The next prime is 705276049. The reversal of 705276032 is 230672507.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 471063616 + 234212416 = 21704^2 + 15304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 705276032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17282 + ... + 41342.

Almost surely, 2705276032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705618150).

705276032 is an abundant number, since it is smaller than the sum of its proper divisors (705960268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705276032 is a wasteful number, since it uses less digits than its factorization.

705276032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304 (or 24292 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 705276032 is about 26557.0335692825. The cubic root of 705276032 is about 890.1291871554.

The spelling of 705276032 in words is "seven hundred five million, two hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1832 3664 7328 14656 24061 29312 48122 96244 192488 384976 769952 1539904 3079808 5509969 11019938 22039876 44079752 88159504 176319008 352638016 705276032